SOLUTION: Smith Engineering is in the process of reviewing the salaries of their surveyors. During this review,the company found that an experienced surveyor can survey a road bed in three h

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Smith Engineering is in the process of reviewing the salaries of their surveyors. During this review,the company found that an experienced surveyor can survey a road bed in three h      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 716023: Smith Engineering is in the process of reviewing the salaries of their surveyors. During this review,the company found that an experienced surveyor can survey a road bed in three hours. An apprentice surveyor needs seven hours to survey the same stretch of road. if the two work together, find out how long it will take them to complete the job.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working:
An experienced surveyor's rate = ( 1 road bed ) / ( 3 hrs )
An apprentice surveyor's rate = ( 1 road bed ) / ( 7 hrs )
Let +t+ = their time in hrs with both working
+1%2F3+%2B+1%2F7+=+1%2Ft+
Multiply both sides by +21t+
+7t+%2B+3t+=+21+
+10t+=+21+
+t+=+2.1+
Working together, it will take them
2.1 hrs to complete the job.